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- W2964113350 abstract "Nous nous intéressons à l’équation de la chaleur stochastique avec un bruit blanc multiplicatif sous des <<conditions d’intermittence>> standard. Le résultat principal de cet article est que, sous des hypothèses de régularité raisonnables, le caractère presque sûrement borné de la solution $xmapsto u(t,x)$ est entièrement déterminé par la vitesse de décroissance en $pminfty$ de la condition initiale $u_{0}$. Plus précisément, nous démontrons qu’il existe trois régimes distincts selon la valeur de $mathbf{Lambda}:=lim_{vert xvert toinfty}vert log u_{0}(x)vert/(logvert xvert )^{2/3}$." @default.
- W2964113350 created "2019-07-30" @default.
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- W2964113350 date "2017-11-01" @default.
- W2964113350 modified "2023-09-27" @default.
- W2964113350 title "A boundedness trichotomy for the stochastic heat equation" @default.
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- W2964113350 doi "https://doi.org/10.1214/16-aihp780" @default.
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